On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification
arXiv:0812.3127 · doi:10.1103/PhysRevD.79.086002
Abstract
We classify canonical metric 3-algebra structures on matrix algebras and find novel three-dimensional conformally invariant actions in N=4 projective superspace based on them. These can be viewed as Chern-Simons theories with special matter content and couplings. We explore the relations of these actions with the N=2 actions based on generalized 3-Lie algebras found earlier and relate them to the original Bagger-Lambert-Gustavsson action.
arXiv comment1+18 pages, replaced with published version
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